{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:2VE5SZOSLUI73QLKGA2AB6EUM6","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"3b0bf9f7db35f02addb3dd0c748378ae535dad2072869fe65b9d571d28a904d1","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-16T03:26:17Z","title_canon_sha256":"df193fb615627bbbaca638d023df439781207fc572fabd6c8fc7b28985754cf4"},"schema_version":"1.0","source":{"id":"1006.3129","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.3129","created_at":"2026-05-18T04:33:39Z"},{"alias_kind":"arxiv_version","alias_value":"1006.3129v1","created_at":"2026-05-18T04:33:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.3129","created_at":"2026-05-18T04:33:39Z"},{"alias_kind":"pith_short_12","alias_value":"2VE5SZOSLUI7","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_16","alias_value":"2VE5SZOSLUI73QLK","created_at":"2026-05-18T12:26:03Z"},{"alias_kind":"pith_short_8","alias_value":"2VE5SZOS","created_at":"2026-05-18T12:26:03Z"}],"graph_snapshots":[{"event_id":"sha256:c4eeeca428d436f5853763f6d73512d5957c0cc2bdd3a75572bce8cfc6a4cc1b","target":"graph","created_at":"2026-05-18T04:33:39Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"We examine bound orbits of particles around singly rotating black rings. We show that there exist stable bound orbits in toroidal spiral shape near the axis of the ring, and also exist stable circular orbits on the axis as special cases. The stable bound orbits can have arbitrary large size if the thickness of the ring is less than a critical value.","authors_text":"Hideki Ishihara, Takahisa Igata, Yohsuke Takamori","cross_cats":["gr-qc"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-16T03:26:17Z","title":"Stable Bound Orbits around Black Rings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.3129","kind":"arxiv","version":1},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:2223e52de4fec500824f93768a6079500e990112276a2a532d8cc57f35cac9e1","target":"record","created_at":"2026-05-18T04:33:39Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"3b0bf9f7db35f02addb3dd0c748378ae535dad2072869fe65b9d571d28a904d1","cross_cats_sorted":["gr-qc"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2010-06-16T03:26:17Z","title_canon_sha256":"df193fb615627bbbaca638d023df439781207fc572fabd6c8fc7b28985754cf4"},"schema_version":"1.0","source":{"id":"1006.3129","kind":"arxiv","version":1}},"canonical_sha256":"d549d965d25d11fdc16a303400f894678d2d0f0c68a40857b72679c122e398de","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d549d965d25d11fdc16a303400f894678d2d0f0c68a40857b72679c122e398de","first_computed_at":"2026-05-18T04:33:39.505274Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:33:39.505274Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lRqmxyqmzBT/xn4OB15BAaQmjIc+9jLPTFOuKmSDsc+QAEDRXtOM6zi5XjWyB/HEVMKQ1uzyj30kz3lG+h9rDg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:33:39.505905Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.3129","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2223e52de4fec500824f93768a6079500e990112276a2a532d8cc57f35cac9e1","sha256:c4eeeca428d436f5853763f6d73512d5957c0cc2bdd3a75572bce8cfc6a4cc1b"],"state_sha256":"ae491c04cdb7aec2a9d867e0f663ec54377b7ca0cf09f873dbc1fd9ebc56b7ac"}